Аналитическая геометрия. Часть III. Многомерные пространства. Гиперповерхности второго порядка. Шурыгин В.В. - 85 стр.

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{E
α
; E} {E
0
α
; E
0
}
eϕ : P
n
→ P
n
{A
1
, . . . , A
n+2
}
n + 2 ( n + 1
)
{A
0
1
, . . . , A
0
n+2
} n + 2
eϕ
{E
α
= A
α
; E = A
n+2
} {E
0
α
= A
0
α
; E =
A
0
n+2
}
P
2
A
1
, A
2
, A
3
, A
4
A
0
1
, A
0
2
, A
0
3
, A
0
4
C
∞
B
∞
A
1
A
2
A
3
A
4
A
0
1
C
0
A
0
2
A
0
4
B
0
A
0
3
A = [a] B = [b] C = [c] D = [d]
` ⊂ P
n
c = λa + µb, d = αa + βb.
A B C D
(A, B, C, D) =
µ
λ
:
β
α
.
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                 v                n n           n      u
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ϕ
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A0n+2 } < 
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3*C29-6>,01 A01, A02, A03, A04 <
     A4              A3            B0                                        C0
                                                           A03

B∞                                         A04                         A02

     A1              A2
             C∞                                                  A01


Ý^Þ Ó\ڜX—\]«Y˜™—Y —š\—ÉY\]Y «YšXY× š—«Y™ WX®—° ^
VWXYZY[Y\]Y^ ž}hi‚ A = [a] w B = [b] w C = [c] w D = [d] Ÿ smicfm fjloasp
bcm igsvaw efabjnomyjqam gnbgu eftdgu ` ⊂ Pn w a
                    c = λa + µb, d = αa + βb.                        •ºI‹
_bxjfdgbasmhvad gibg¾mbamd gibg¾mbamd igsmv A w B w C a D bjlckjp
miht homn}{qmm sahog¿
                          (A, B, C, D) =
                                         µ β
                                               :       .             •ºº‹
                                           λ       α



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